Definition A.5 ([1]}) 

A distribution \(\mathcal {D}_p\)  is called p-stable, if there exists \(p \ge 0\)  such that for any \(d\)  real numbers \(a_1, a_2, \dots , a_d\)  and i.i.d. variables \(x_1, x_2, \dots , x_d\)  from distribution \(\mathcal {D}_p\) . the random variable \(\sum _{i = 1}^d a_ix_i\)  has the same distribution as the variable \(\Vert a\Vert _p y\) , where y is a random variable from distribution \(\mathcal {D}_p\) .

